factorize (a + 2b)^3(2a+b)^3
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Answer:
Step-by-step explanation:
(2a+b)^3 - (a+2b)^3
=(2a+b-a-2b){(2a+b)^2+ (a+2b)^2 + (2a+b)(a+2b)}
= (a-b) (4a^2+b^2 + 4ab + a^2 +4b^2 -4ab + 2a^2 + 2ba+ ba+2b^2)
= (a-b) (7a^2 + 7b^2+2ab)
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